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Finding the Fourth Proportional to 7,219.59, 9,967.62 and 5,896.45

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Solution

The fourth proportional to 7,219.59, 9,967.62 and 5,896.45 is: 8,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.59 : 9,967.62 = 5,896.45 : x
  2. Step 2: Convert to fraction form
    7,219.59/9,967.62 = 5,896.45/x
  3. Step 3: Cross multiply
    7,219.59x = 9,967.62 × 5,896.45
  4. Step 4: Simplify right side
    7,219.59x = 58,773,572.95
  5. Step 5: Solve for x
    x = 58,773,572.95/7,219.59
  6. Step 6: Final answer
    x = 8,140.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.